Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.5 - The Binomial Theorem - Exercise Set - Page 664: 53

Answer

$\binom {n}{n}$ = 1

Work Step by Step

As $\binom {n}{r}$ = $\frac{n!}{r!(n - r)!}$ For any whole number $n$, $\binom {n}{n}$ = $\frac{n!}{n!(n - n)!}$ = $\frac{1}{0!}$ = 1 $(\because$ for any whole number n, $0! = 1)$ Hence, for any whole number $n$, $\binom {n}{n}$ = 1
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